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Finding the Fourth Proportional to 3,419.68, 5,127.74 and 1,569.20

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Solution

The fourth proportional to 3,419.68, 5,127.74 and 1,569.20 is: 2,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.68 : 5,127.74 = 1,569.20 : x
  2. Step 2: Convert to fraction form
    3,419.68/5,127.74 = 1,569.20/x
  3. Step 3: Cross multiply
    3,419.68x = 5,127.74 × 1,569.20
  4. Step 4: Simplify right side
    3,419.68x = 8,046,449.61
  5. Step 5: Solve for x
    x = 8,046,449.61/3,419.68
  6. Step 6: Final answer
    x = 2,352.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.